If a b and c are three different numbers which of the following equations has exactly one solution?

Mathematics

1 answer:

Mrrafil [7]3 years ago

4 0

Option B is correct.

Step-by-step explanation:

We need to identify which of the following equations has exactly one solution.

We will solve each equation to find the answer

A. $ax+b=ax+b$

Solving and finding value of x:

$ax+b=ax+b\\ax-ax=b-b\\0=0$

This equation has infinite number of solutions because both sides are equal to 0

B. $ax=bx+c$

Solving and finding value of x:

$ax=bx+c\\ax-bx=c\\x(a-b)=c\\x=\frac{c}{a-b}$

This equation has exactly one solution

C. $ax+b=ax+c$

$ax+b=ax+c\\ax-ax=c-b\\0=c-b$

This equation has no solution because both sides are not equal.

So, Option B is correct.

Keywords: Solving Equations

Learn more about Solving Equations at:

#learnwithBrainly

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PLease help me ,really need help with explanation

mylen [45]

Check the picture below.

volume wise, we know the smaller pyramid is 1/8 th of the whole pyramid, so the volume of the whole pyramid must be 8/8 th.

Now, if we take off 1/8 th of the volume of whole pyramid, what the whole pyramid is left with is 7/8 th of its total volume, and that 7/8 th is the truncated part, because the 1/8 we chopped off from it, is the volume of the tiny pyramid atop.

Now, what's the ratio of the tiny pyramid to the truncated bottom?

$\stackrel{\textit{\Large Volumes}}{\cfrac{\textit{small pyramid}}{\textit{frustum}}\implies \cfrac{~~\frac{1}{8}whole ~~}{\frac{7}{8}whole}}\implies \cfrac{~~\frac{1}{8} ~~}{\frac{7}{8}}\implies \cfrac{1}{8}\cdot \cfrac{8}{7}\implies \cfrac{1}{7}$